Among many numerical methods,
the neural network based methods are prominent and give good results
universally to various kinds of ODEs.
For example, neural network based methods are used to solve the first-order linear [1]}
and nonlinear ODEs [2]}.
S. Chakraverty and S. Mall provide a regression-based weight generation
algorithm [3]} and a
Legendre neural network [4]} to solve high-order ODEs.
YunLei Yang et al. prove the effectiveness of using neural networks to solve ODEs [5]};
